Primes of the form p = (x^3 - y^3)/(x - y) where x=y+1. See A007645 for generalization. I first saw the name "cuban prime" in Cunningham (1923). Values of x are in A002504. - N. J. A. Sloane, Jan 29 2013

The cuban primes may be generated from the hexagonal centered numbers by eliminating all the items that may be expressed as 36*i*j + 6*i + 6*j + 1 with i,j integers. - Giacomo Fecondo, Mar 13 2009, Mar 17 2009